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Question: How many 4-permutations of the positive integers not exceeding 100 contain three consecutive integers k, k + 1, k + 2, in the correct order
a) where these consecutive integers can perhaps be separated by other integers in the permutation?
b) where they are in consecutive positions in the permutation?
A tank in the shape of right circular cylinder of diameter 10 ft is lying on its side. The tank is half full of oil that has weight density 60 lb/ft3. Find the force exerted by the oil on one end of the tank.
how many cars in the lot aren t foreign and aren t red ?6-make a simple flowchart in which you purchase instant scratch -off lottery tickets one at a time .you stop when you purchase a winning ticket
A box with a square base of side x is three times higher than it is wide. Express the volume V of the box as a function of x.
A kite flying high in the sky has an angle of elevation of 78°. If the kite is flying at the end of a 30 ft piece of string, what is its vertical height off of the ground? Round your answer to one decimal place.
a ladder 22 feet long leans against the side of a house. suppose the angle of elevation is 70 degrees.a find the height
The following is 12 years' demand for Viking Village, a game now available for handhelds and smartphones.
Calculate the Present Value of Annuity of receiving $5,000 eachyear for the next 12 years with interest rate of 7%. 8 Calculatethe Future Value of Annuity of investing $6,000 each year startingnow
Find the lines that are tangent and normal to the curve at given point for the following below: (x2)(y2) = 36 (1,-6) and 4.) y = 7 sin (πx-y), (1,0).
Let G be a group (finite or infinite) and let a and b in G. Let o(a) represent the order of a. Suppose G is abelian and both a and b are of finite order. Show that ab is of finite order and o(ab) divides o(a)o(b).
a rectangular playground is to be fenced and divided into two by another fence parrallel to one side of the play ground. 216 feet of fencing is used.find the dimensions of the playground that maximixe the total enclosed area.
Set up a hypothesis test to try to prove that the mean number of hours studied at your school is different from the 14.6-hour-per-week benchmark reported by BusinessWeek.
Suppose a firm has a book balance of $2 million. At the automatic teller machine (ATM), the cash manager finds out that the bank balance is $2.5 million. What is the situation here? If this is an ongoing situation, what ethical dilemma arises?
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